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12054434220 = 22325211433733
BaseRepresentation
bin10110011101000000…
…00001000110101100
31011010002112201001200
423032200001012230
5144141413343340
65312052205500
7604502000043
oct131640010654
934102481050
1012054434220
115126460934
122405009890
1311a151331a
14824d4b55a
154a8424330
hex2ce8011ac

12054434220 has 144 divisors (see below), whose sum is σ = 36873494112. Its totient is φ = 3187537920.

The previous prime is 12054434219. The next prime is 12054434221. The reversal of 12054434220 is 2243445021.

12054434220 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 4 + 434 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12054434219) and next prime (12054434221).

It is not an unprimeable number, because it can be changed into a prime (12054434221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16444974 + ... + 16445706.

Almost surely, 212054434220 is an apocalyptic number.

12054434220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12054434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436747056).

12054434220 is an abundant number, since it is smaller than the sum of its proper divisors (24819059892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12054434220 is a wasteful number, since it uses less digits than its factorization.

12054434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12054434220 its reverse (2243445021), we get a palindrome (14297879241).

The spelling of 12054434220 in words is "twelve billion, fifty-four million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 433 633 733 844 866 1055 1266 1299 1466 1732 1899 2110 2165 2199 2532 2598 2932 3165 3665 3798 3897 4220 4330 4398 5196 6330 6495 6597 7330 7596 7794 8660 8796 9495 10995 12660 12990 13194 14660 15588 18990 19485 21990 25980 26388 32985 37980 38970 43980 65970 77940 91363 131940 154663 182726 274089 309326 317389 365452 456815 463989 548178 618652 634778 773315 822267 913630 927978 952167 1096356 1269556 1370445 1391967 1546630 1586945 1644534 1827260 1855956 1904334 2319945 2740890 2783934 2856501 3093260 3173890 3289068 3808668 4111335 4639890 4760835 5481780 5567868 5713002 6347780 6959835 8222670 9279780 9521670 11426004 13919670 14282505 16445340 19043340 27839340 28565010 57130020 66969079 133938158 200907237 267876316 334845395 401814474 602721711 669690790 803628948 1004536185 1205443422 1339381580 2009072370 2410886844 3013608555 4018144740 6027217110 12054434220